Thompson down the street from his home to Cameron’s house. Along the way he stopped at a bakery to pick up cupcakes. If he began at (0,6), ended at (6,-6), and stopped at the bakery at (4,-2), what are the possible ratios to represent his trip?

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24-08-2022
Mathematics

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Thompson down the street from his home to Cameron’s house. Along the way he stopped at a bakery to pick up cupcakes. If he began at (0,6), ended at (6,-6), and stopped at the bakery at (4,-2), what are the possible ratios to represent his trip?

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 1 · 2022-08-27T08:04:13+02:00

The possible ratio to represent Thompson's trip is 3:2.

Given that, Thompson down the street from his home to Cameron’s house. Along the way, he stopped at a bakery to pick up cupcakes. If he began at (0,6), ended at (6,-6), and stopped at the bakery at (4,-2).

We need to find what are the possible ratios to represent his trip.

What is the distance formula to find the distance between two coordinates?

The distance formula to find the distance between two coordinates is Distance=[tex]\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1} )^{2} }[/tex].

Now, the distance between (0,6) and (6,-6).

Distance=√(6-0)²+(-6-6)²

=√36+144

=√180=6√5 units

The distance between (0,6) and (4,-2).

Distance=√(4-0)²+(-2-6)²

=√16+64

=√80=4√5 units

Then, ratio=6√5/4√5=3/2

Therefore, the possible ratio to represent Thompson's trip is 3:2.

To learn more about the ratios visit:

https://brainly.com/question/13419413.

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